A223643 Number of nX7 0..1 arrays with rows, columns, diagonals and antidiagonals unimodal.

29, 841, 10797, 74599, 354726, 1370104, 4682514, 14767708, 43862845, 124004457, 335617558, 872372014, 2182675327, 5267049151, 12280118231, 27708360959, 60600014150, 128659653568, 265553503693, 533599565121, 1045268782162

Offset: 1

Author

R. H. Hardin Mar 24 2013

Keywords

• nonn

Comments

Column 7 of A223644

Examples

			Some solutions for n=4
..0..0..0..1..1..0..0....0..1..1..0..0..0..0....0..0..1..0..0..0..0
..0..0..1..1..1..1..1....0..1..1..1..1..1..0....0..1..1..1..1..1..1
..0..1..1..1..1..1..0....0..0..0..1..1..1..0....1..1..1..1..1..1..0
..0..0..0..0..1..0..0....0..0..0..0..0..0..1....0..0..0..0..1..0..0
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..78

Formula

Empirical: a(n) = (503/209563200)*n^14 - (185069/778377600)*n^13 + (1733819/119750400)*n^12 - (7176551/11975040)*n^11 + (36644381/2177280)*n^10 - (480531353/1814400)*n^9 - (76780811581/76204800)*n^8 + (29262582467/155520)*n^7 - (62420351374933/10886400)*n^6 + (281872655928541/2721600)*n^5 - (74234681724454753/59875200)*n^4 + (3261809312979967/332640)*n^3 - (557318597695013723/11642400)*n^2 + (14542780178794541/120120)*n - 90173668357 for n>19